This may be an odd comparison, but most of the story reminds me of the first Pirates of the Caribbean movie. Hear me out, when Peyton is in the water, he seems to completely defy death. There are bullets flying past him, bullets landing on him underwater, and he even manages to escape the murderous cannonball charge. This is very similar to the many times that Captain Jack Sparrow dodges bullets, almost gets hit by cannonballs, yet doesn't, and narrowly avoids sword swings. Even when Jack Sparrow escapes imprisonment it reminds me of when Peyton's rope "snaps."
To further my point, when Peyton is walking through the forest, everything seems surreal, the moon is shining bright, the stars are out (even though they're unfamiliar), and the whole forest is silent, creating a foreboding and unrealistic atmosphere. This reminds me of the scene when Elizabeth Swan is on the crew of the dead. The atmosphere's are very similar, there's a bright moon and the stars are gleaming, everything is cast in a bluish light, and there's overall a very surreal and unrealistic vibe going on.